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Finding the Fourth Proportional to 421,701.75, 632,553.21 and 172,383.75

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Solution

The fourth proportional to 421,701.75, 632,553.21 and 172,383.75 is: 258,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,701.75 : 632,553.21 = 172,383.75 : x
  2. Step 2: Convert to fraction form
    421,701.75/632,553.21 = 172,383.75/x
  3. Step 3: Cross multiply
    421,701.75x = 632,553.21 × 172,383.75
  4. Step 4: Simplify right side
    421,701.75x = 109,041,894,414.34
  5. Step 5: Solve for x
    x = 109,041,894,414.34/421,701.75
  6. Step 6: Final answer
    x = 258,575.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.